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Finding the Third Proportional to 69,305.63 and 164,445.75

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Solution

The third proportional to 69,305.63 and 164,445.75 is: 390,190.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,305.63 : 164,445.75 = 164,445.75 : x
  2. Step 2: Convert to fraction form
    69,305.63/164,445.75 = 164,445.75/x
  3. Step 3: Cross multiply
    69,305.63x = 164,445.75 × 164,445.75
  4. Step 4: Simplify right side
    69,305.63x = 27,042,404,693.06
  5. Step 5: Solve for x
    x = 27,042,404,693.06/69,305.63
  6. Step 6: Final answer
    x = 390,190.62

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.